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Finding the Fourth Proportional to 774.77, 1,068.17 and 494.53

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Solution

The fourth proportional to 774.77, 1,068.17 and 494.53 is: 681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.77 : 1,068.17 = 494.53 : x
  2. Step 2: Convert to fraction form
    774.77/1,068.17 = 494.53/x
  3. Step 3: Cross multiply
    774.77x = 1,068.17 × 494.53
  4. Step 4: Simplify right side
    774.77x = 528,236.97
  5. Step 5: Solve for x
    x = 528,236.97/774.77
  6. Step 6: Final answer
    x = 681.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.